Presents a necessary and sufficient condition for the equivalence of structural-equation models that is applicable to models with parameter restrictions and models that may or may not fulfill assumptions of the rules. Illustrates the application of the approach for studying model equivalence. (SLD)

The usefulness of structural equation modeling methodology for studying change is explored, considering individual and group change model classes. The relationship between the constant rate of change and simplex models as representatives of either class is examined, and both models are shown to be special cases of comprehensive latent curve…

It is shown that, for equivalent structural equation models that have been extended to multigroup models, imposing cross-group equality constraints on no parameters, all parameters, or any number of parameters for which the models are identical preserves the model equivalence property. Results are illustrated with two-group cognitive intervention…

Presents a validation procedure for cognitive structures that is based on structural equation modeling of cognitive subordination relationships among test items. Illustrates the method using scores of 278 ninth graders on an algebra test and shows results for the same test when the linear logistic test model is used. (SLD)

The ability of 248 older adults to improve their performance on fluid intelligence tests, with or without tutor-guided instruction in cognitive skills, was studied using multidimensional longitudinal structural equation models. Results suggest considerable plasticity in adult intellectual function and the capacity to improve performance. (SLD)